Alarge railroad car is filled with 1745 gallons of milk. the car springs a leak in the bottom, and milk starts dripping out at a rate of 204.84 ml/sec. if the train is traveling at a speed of 65.4 miles per hour, calculate how many miles it will travel before all the milk has drained out of the car.

585.98 miles

Step-by-step explanation:

We need to convert 1745 gallons to mL.

We know 1 gallons = 3785.41 mL

So 1745 gallons = 1745 * 3785.41 = 6,605,540.45 mL

Leaks are at 204.84 mL/sec, so it will take:

6,605,540.45/204.84 = 32,247.32 seconds

In hours, that is:

32,247.32/(60*60) = 8.96 hours

Now, since train is travelling at 65.4 miles per hour, in 8.96 hours, train will approximately travel:

65.4 * 8.96 = 585.98 miles

see explanation

step-by-step explanation:

since the sequence is geometric there is a common ratio r between consecutive terms, that is

r = 4 ÷ - 2 = - 2

r = - 8 ÷ 4 = - 2

r = 16 ÷ 8 = - 2

the next term - 13 must be incorrect as it should be - 32 for the sequence to be geometric.

the first 4 terms are therefore geometric with common ratio r = - 2